(w-11)(w-4)=-10

Solution for (w-11)(w-4)=-10 equation:

Simplifying
(w + -11)(w + -4) = -10

Reorder the terms:
(-11 + w)(w + -4) = -10

Reorder the terms:
(-11 + w)(-4 + w) = -10

Multiply (-11 + w) * (-4 + w)
(-11(-4 + w) + w(-4 + w)) = -10
((-4 * -11 + w * -11) + w(-4 + w)) = -10
((44 + -11w) + w(-4 + w)) = -10
(44 + -11w + (-4 * w + w * w)) = -10
(44 + -11w + (-4w + w2)) = -10

Combine like terms: -11w + -4w = -15w
(44 + -15w + w2) = -10

Solving
44 + -15w + w2 = -10

Solving for variable 'w'.

Reorder the terms:
44 + 10 + -15w + w2 = -10 + 10

Combine like terms: 44 + 10 = 54
54 + -15w + w2 = -10 + 10

Combine like terms: -10 + 10 = 0
54 + -15w + w2 = 0

Factor a trinomial.
(6 + -1w)(9 + -1w) = 0

Subproblem 1
Set the factor '(6 + -1w)' equal to zero and attempt to solve:

Simplifying
6 + -1w = 0

Solving
6 + -1w = 0

Move all terms containing w to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + -1w = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1w = 0 + -6
-1w = 0 + -6

Combine like terms: 0 + -6 = -6
-1w = -6

Divide each side by '-1'.
w = 6

Simplifying
w = 6
Subproblem 2
Set the factor '(9 + -1w)' equal to zero and attempt to solve:

Simplifying
9 + -1w = 0

Solving
9 + -1w = 0

Move all terms containing w to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + -1w = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1w = 0 + -9
-1w = 0 + -9

Combine like terms: 0 + -9 = -9
-1w = -9

Divide each side by '-1'.
w = 9

Simplifying
w = 9
Solution
w = {6, 9}